Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800bp |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1257193835712000000 = 212 · 315 · 56 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1913188833,-32208928016463] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178562752072446812330639360845528847901243254865764330969748664538084139204828699422874678149440569:-245625219629845892282111580480654087787386769349226607295459002052462556059997936422462678627708:46670280781071742403827008773607725921865933292860472832993272490535774807938367764776811803417] |
Generators of the group modulo torsion |
j |
12100888248456939565096000/19643653683 |
j-invariant |
L |
6.7906261463851 |
L(r)(E,1)/r! |
Ω |
0.022827591662612 |
Real period |
R |
148.73724409367 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88800cl2 3552d2 |
Quadratic twists by: -4 5 |